Results 31 to 40 of about 3,286,440 (286)
Multiply warped products with compact Einstein manifolds [PDF]
, 2020 We study multiply warped products with compact Einstein manifolds. We obtain that there does not exist connected, compact Einstein multiply warped products if the scalar curvature is non-positive.
Karaca, Fatma, Fatma Karaca
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A new characterization of slices in warped products [PDF]
Contributions to MathematicsA paraitre dans Contributions to MathematicsInternational audienceWe show that in certain warped products, a starshaped and s-convex hypersurface for which there exists a positive constant c so that the higher order mean curvatures H_{s} and H_{s-1 ...
Julien Roth
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Warped Poisson brackets on warped products
Journal of Geometric Mechanics, 2014 In this paper, we generalize the geometry of the product pseudo-Riemannian manifold equipped with the product Poisson structure (\cite{Nas2}) to the geometry of a warped product of pseudo-Riemannian manifolds equipped with a warped Poisson structure. We construct three bivector fields on a product manifold and show that each of them lead under certain ...
Amrane, Yacine Aït +2 more
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A CLASS OF FOUR-DIMENSIONAL WARPED PRODUCTS [PDF]
Demonstratio Mathematica, 2002 The authors investigate properties of 4-dimensional warped product manifolds satisfying a particular set of curvature conditions. As an application, it is obtained a generalization of a pseudosymmetric property for Ricci-flat warped product spacetimes which was established previously in some special cases, including the Schwarzschild metric.
Filip Defever +4 more
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Uniqueness of Complete Hypersurfaces in Weighted Riemannian Warped Products
Advances in Mathematical Physics, 2021 In this paper, applying the weak maximum principle, we obtain the uniqueness results for the hypersurfaces under suitable geometric restrictions on the weighted mean curvature immersed in a weighted Riemannian warped product I×ρMfn whose fiber M has f ...
Ning Zhang
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Killing and 2-Killing Vector Fields on Doubly Warped Products
Mathematics, 2023 We provide a condition for a 2-Killing vector field on a compact Riemannian manifold to be Killing and apply the result to doubly warped product manifolds.
Adara M. Blaga, Cihan Özgür
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Sobolev spaces on warped products [PDF]
, 2018 We study the structure of Sobolev spaces on the cartesian/warped products of a given metric measure space and an interval. Our main results are: – the characterization of the Sobolev spaces in such products,– the proof that, under natural assumptions ...
Bang-Xian Han +3 more
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Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds
Mathematics, 2023 Recently, we studied CR-slant warped products B1×fM⊥, where B1=MT×Mθ is the Riemannian product of holomorphic and proper slant submanifolds and M⊥ is a totally real submanifold in a nearly Kaehler manifold. In the continuation, in this paper, we study B2×
Siraj Uddin, Bang-Yen Chen, Rawan Bossly
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Warped Product Submanifolds of Riemannian Product Manifolds [PDF]
Abstract and Applied Analysis, 2012 We study warped product of the type Nθ×fNT and Nθ×fN⊥, where Nθ, NT, and N⊥ are proper slant, invariant, and anti‐invariant submanifolds, respectively, and we prove some basic results and finally obtain some inequalities for squared norm of second fundamental form.
Al-Solamy, Falleh R., Khan, Meraj Ali
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Conformal Metrics to a Product or Doubly Warped Product on S2×S2 and the Hopf Conjecture
Journal of Mathematics, 2022 Hopf’s well-known conjecture states that there exists no metric of positive sectional curvature in the product manifold S2×S2. In this paper, we show that the Hopf conjecture is true for conformal metrics to the product metric or doubly warped products ...
Thierno Seck, Athoumane Niang
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